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A216694 T(n,k)=Number of horizontal, vertical, diagonal or knight-move neighbor colorings of an nXk array with new integer colors introduced in row major order 4
1, 1, 1, 2, 2, 2, 5, 9, 9, 5, 15, 90, 189, 90, 15, 52, 1451, 11730, 11730, 1451, 52, 203, 33694, 1561834, 6901440, 1561834, 33694, 203, 877, 1047754, 370625430, 11239872497, 11239872497, 370625430, 1047754, 877, 4140, 41569451 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

...1.......1.........2...........5..........15........52..........203......877

...1.......2.........9..........90........1451.....33694......1047754.41569451

...2.......9.......189.......11730.....1561834.370625430.139733635588

...5......90.....11730.....6901440.11239872497

..15....1451...1561834.11239872497

..52...33694.370625430

.203.1047754

.877

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..39

EXAMPLE

Some solutions for n=2 k=4

..0..1..2..1....0..1..2..3....0..1..2..3....0..1..2..1....0..1..2..1

..3..4..5..3....4..2..4..0....3..4..5..4....1..3..4..5....3..2..4..5

CROSSREFS

Column 1 is A000110(n-1)

Sequence in context: A039886 A109523 A008295 * A116697 A014244 A216634

Adjacent sequences:  A216691 A216692 A216693 * A216695 A216696 A216697

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 14 2012

STATUS

approved

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Last modified June 4 08:18 EDT 2020. Contains 334825 sequences. (Running on oeis4.)